65081167002240 has 1024 divisors, whose sum is σ = 224649834393600. Its totient is φ = 15995549122560.

The previous prime is 65081167002227. The next prime is 65081167002251. The reversal of 65081167002240 is 4220076118056.

It is a happy number.

65081167002240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 65081167002192 and 65081167002201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22418588629 + ... + 22418591531.

It is an arithmetic number, because the mean of its divisors is an integer number (219384603900).

Almost surely, 2^{65081167002240} is an apocalyptic number.

65081167002240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65081167002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112324917196800).

65081167002240 is an abundant number, since it is smaller than the sum of its proper divisors (159568667391360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

65081167002240 is a wasteful number, since it uses less digits than its factorization.

65081167002240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3225 (or 3213 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 65081167002240 in words is "sixty-five trillion, eighty-one billion, one hundred sixty-seven million, two thousand, two hundred forty".